Question

a body moving along a straight line between two places moves with a velocity V1 for the first half of time and with a velocity V2 for the second of the time, then, whats its average velocity ?

Answer 1

Suppose, the total displacement =S.

And total time of travel = T.

The body travels for time T/2 with velocity V₁.

So the displacement is = V₁ × T/2

Next T/2 time the body travels at V₂. The displacement is = V₂ × T/2

So, S = V₁ × T/2 + V₂ × T/2 = (T/2)(V₁ + V₂)

Average velocity = S/T

= (T/2)(V₁ + V₂)/T

= (V₁ + V₂)/2